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Geometry Formulas: Areas, Perimeters, Volumes, and Surface Areas of Common Shapes, Cheat Sheet of Geometry

Formulas for calculating the areas and perimeters of various two-dimensional shapes, including squares, rectangles, parallelograms, trapezoids, and triangles. Additionally, it includes formulas for the volumes and surface areas of three-dimensional figures such as rectangular figures, solids (cubes), right circular figures (cylinders, spheres, and cones), and frustums of right circular cones.

Typology: Cheat Sheet

2021/2022

Uploaded on 02/07/2022

jugnu900
jugnu900 🇺🇸

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Geometry Formulas
Areas and Perimeters
Figure Sketch Area Perimeter
Square A = s2 P = 4s
Rectangle A = lw P = 2l + 2w
Parallelogram A = lh P = 2l + 2w
Trapezoid A =
)(
2
121 bbh
P =
2121 bbss
Triangle A =
bh
2
1
P =
bss 21
Area and Circumference of a Circle
Circle A =
2
r
C =
r2
or C =
d
l
l
s
h
b1
b2
h
s2
s1
s1
s2
h
b
r
d
w
pf2

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Geometry Formulas

Areas and Perimeters

Figure Sketch Area Perimeter

Square A = s

2

P = 4 s

Rectangle A = lw P = 2 l + 2 w

Parallelogram A = lh P = 2 l + 2 w

Trapezoid A = ( )

1 2

hb b P =

1 2 1 2

s s b b

Triangle A = bh

P = s s b

1 2

Area and Circumference of a Circle

Circle A =

2

r C = 2 r or C = d

l

w

l

s

h

b 1

b

2

h

s 2

s

1

s

1

s

2

h

b

r

d

w

Volumes and Surface Areas of Three- Dimensional Figures

Figure Sketch Volume Surface Area (S)

Rectangular V = lwh S = 2 lh + 2 wh + 2 wl

Solid

Cube V = s

3

S = 6 s

2

Right

Circular V = r h

2

S =

2

2 rh 2 r

Cylinder

Sphere V =

3

r

S =

2

4 r

Right

Circular V = r h

2

S =

2 2

r r h

Cone

Square or

Rectangular V = lwh

Pyramid

Frustum of

Right Circular V =

2 2

r rR R h

S =

s ( R r )

Cone

w

h l s s s h r r r

h

h

l

w

r

R

s

h